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Ainat [17]
3 years ago
5

A savings account earns 8% interest each year, compounded quarterly (4 times a year). If a person invests $100 and makes no furt

her deposits or withdrawals, what is the balance in the account after 3 years?
Mathematics
1 answer:
Margaret [11]3 years ago
6 0

Answer:

251.817012

Step-by-step explanation:

1. Write out equation to get 100(1.08)^n*4

2.  Use 3 for n

3. Simplify to get 100(1.08)^12

4. Solve to get 251.817012

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Answer:

the answer is 13 1/3 pi.

Step-by-step explanation:

first, you solve the area of the smaller circle, 3^2 times pi, 9pi. since 120 is 1/3 360, it means it is 1/3 of the cirlce. 9/3=3. 3 is what you have to subtract. next, you know the radius of the big circle is 7 and 7^2 times pi is 49 pi. again, you know 120 is 1/3 360 so it has to be 49/3 pi. 49/3pi - 3pi= 13 1/3 pi.

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3 years ago
What is the solution: (9x+2)(4x^2+35x-9)=0
Dmitrij [34]
(9x+2)(4x^2+35x-9)=0\\\\9x+2=0\\9x=-2\\x=-\frac29\\or\\4x^2+35x-9=0\\\Delta=1225+144=1369\ \ \sqrt{\Delta}=37\\x_1=\frac{-35-37}{2 \cdot 4}=-9\\\\x_2=\frac{-35+37}{2\cdot 4}=\frac14\\\\x\in\{-9,-\frac29,\frac14\}
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